Solve each inequality and graph the solution set and a number lined, express the Solution set in interval notation. 6 < x + 3 < 8 Solve each inequality and graph the solution set and a number lined , express the Solution set in interval notation . 6 < x + 3 < 8​

Answers

Answer 1

The solution set for the given inequality is 3<x<5.

The given inequality is 6<x+3<8.

What is the solution set?

In mathematics, a solution set is the set of values that satisfy a given set of equations or inequalities.

Now, solve the given inequality:

6<x+3<8⇒6<x+3 and x+3<8

6-3<x ⇒3<x

x+3<8⇒x<5

Thus, 3<x<5.

Therefore, the solution set is 3<x<5.

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Solve Each Inequality And Graph The Solution Set And A Number Lined, Express The Solution Set In Interval
Answer 2

Inequality and graph the solution set and a number line, express the Solution set in interval notation is 3 < x < 5

6<x+3<8

[tex]6 < x+3\quad \mathrm{and}\quad \:x+3 < 8[/tex]

What is the rule of inequality?

[tex]\mathrm{If}\:a < u < b\:\mathrm{then}\:a < u\quad \mathrm{and}\quad \:u < b[/tex]

[tex]\mathrm{Combine\:the\:intervals}[/tex]

[tex]x > 3\quad \mathrm{and}\quad \:x < 5[/tex]

[tex]3 < x < 5[/tex]

Therefore the Inequality and graph of the solution set and a number line, express the Solution set in interval notation as 3 < x < 5.

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Related Questions

If AABC = ADEF, which congruences are true by CPCTC? Check all that
apply.

Answers

Answer: it's A, B, and D

Step-by-step explanation:

In a test of the effectiveness of garlic for lowering​ cholesterol, 50 subjects were treated with garlic in a processed tablet form. Cholesterol levels were measured before and after the treatment. The changes ​(before-​after) in their levels of LDL cholesterol​ (in mg/dL) have a mean of3.1 and a standard deviation of 16.6. Construct a 99% confidence interval estimate of the mean net change in LDL cholesterol after the garlic treatment. What does the confidence interval suggest about the effectiveness of garlic in reducing LDL​ cholesterol? Click here to view a t distribution table.LOADING... Click here to view page 1 of the standard normal distribution table.LOADING... Click here to view page 2 of the standard normal distribution table.LOADING... What is the confidence interval estimate of the population mean ​?

Answers

The confidence interval estimates that the confidence interval limits contain 0., suggesting that the garlic treatment did not affect the LDL cholesterol levels.

A confidence interval is a range of estimates for an unknown parameter in frequentist statistics. The 95 percent confidence level is the most common, but other levels, like 90 percent or 99 percent, are occasionally used when computing a confidence interval.

Given in a test of effectiveness of garlic for lowering cholesterol, 50 subjects were treated with garlic in a processed tablet form.Both before and after the therapy, cholesterol levels were assessed.

LDL cholesterol variations had a mean of 4.4 and a standard deviation of 19.4 (in mg/dL). The best point estimate is 4.4.

We have to find 95% confidence interval estimate of the population mean

So,

x-bar = 4.4

ME = 1.96 = 5.27

H: no difference

Ha: is a difference

We fail to reject H since 0 is in the CI.

Hence the confidence interval estimates that the confidence interval limits contain 0., suggesting that the garlic treatment did not affect the LDL cholesterol levels.

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pls help i forgot how to do this :)

Answers

Answer:

in picture

Step-by-step explanation:

added in the picture

A coin tossed 5 times. What is the probability of getting

i) All heads?

ii) All tails?

iii) Exactly 2 heads

iv) Exactly 3 tails

v) Exactly 1 head

vi) At least two heads

Answers

umm....... I think it was exactly 2 head

4
Jake is the starting quarterback on his school's football team. He has completed 38 of his 79 passes this season. Which of the
following values is closest to his percentage of pass completions this season?
OA. 51%
OB. 48%
OC. 38%
OD. 30%
Reset
Submit
Session Timer: 7:52
Session Score:?
Please help

Answers

Answer: A) 51%

Step-by-step explanation:

We can estimate the percentage of pass completions by rounding both values. While estimation does not give an exact answer it will give one that is close.

38 rounds up to 40 and 79 rounds up to 80.

Now it is easier to divide.

40/80=1/2

1/2=50%

The closest answer to 50% is 51% which must be the answer.

Answer:

A)

Step-by-step explanation:

a water tank is empty. Anil needs to fill the tank with 2400 litres of eater

Answers

Answer:

2400 liters in tank

Step-by-step explanation:

Company A would take 260 minutes more than Company B for filling 2400 liters of water in Anil's tank when the rate at which Company A fills is 8 liters in 1 minute and 40 seconds, while the rate at which Company B fills is 2.2 gallons per minute.

What is the meaning of rate?

Rate is the ratio of quantity to time.

[tex]RATE = \frac{QUANTITY}{TIME}[/tex].

How to solve the question?

In the question, we are asked to find the time which Company A takes more than Company B for filling a water tank of 2400 liters when Company A fills water at a rate of 8 liters in 1 minute and 40 seconds, while the rate at which Company B fills is 2.2 gallons per minute.

For Company A:

The capacity of the tank = 2400 liters

Rate = 8 liters in 1 minute and 40 seconds

Now, 1 minute and 40 seconds = 1 + 40/60 minutes = 1.67 minute

Therefore, the actual rate = 8/1.67 = 4.8 liters per minute.

Therefore, the time taken by Company A = 2400/4.8 minutes = 500 minutes.

For Company B:

The capacity of the tank = 2400 liters.

We know 1 gallon = 4.54 liters,

or, 1/4.54 gallons = 1 liter.

Therefore, the capacity of the tank = 2400 * (1/4.54) gallons = 528.634 gallons.

Rate = 2.2 gallons per minute.

Therefore, the time taken by Company B = 528.634/2.2 minutes = 240.288 minutes.

Therefore, the time that Company A takes more than Company B = 500 - 240.288 minutes = 259.712 minutes ≈ 260 minutes.

The given question is an incomplete question. The complete question is:

"A water tank is empty.

Anil needs to fill the tank with 2400 liters of water.

Company A supplies water at a rate of 8 liters in 1 minute and 40 seconds.

Company B supplies water at a rate of 2.2 gallons per minute.

1 gallon = 4.54 liters.

Company A would take more time to fill the tank than Company B would take to fill the tank.

How much more time?

Give your answer in minutes correct to the nearest minute."

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4Days 7hours 16 minutes

Answers

Answer:

6190

Step-by-step explanation:

you multiply 4 days by 24 because a day have 24 hrs,then you will multiply the answer by 60 ,then after multiplying by 60 you will add 16 minutes and if you want to put is in seconds you multiply by 60 again that's what I know

What is the horizontal and vertical shift for the absolute value function below f(x)=3[x+9]+6

Answers

We will see that we have a shift of 9 units to the left and 6 units upwards

How to identify the translations?

For any given function H(x), we define a vertical shift of N units as:

g(x) = H(x) + N.

If N > 0, the shift is upwards.If N < 0, the shift is downwards.

While a horizontal shift is written as:

g(x) = H(x + N).

If N > 0, the shift is to the left.if N < 0, the shift is to the right.

Here we know that:

f(x) = 3*|x + 9| + 6

If the original function was:

H(x) = 3*|x|

Then we can write:

f(x) = H(x + 9) + 6

So we have a shift of 9 units to the left and 6 units upwards.

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6 out of 11 players played well on the baseball team. What percent is it?

Answers

It would be 54.5% or 55%. If you divide 6/11 you get .545 so you move the decimal place 2 to the left and that’s how you get the percentage.

Answer: 54%

Step-by-step explanation:

You will need to divide these numbers.

[tex]6/11=0.54[/tex]

After you divide that, simplify that to a percentage by multiplying it by 100.

[tex]0.54 *100=54%[/tex]%

I hope this helps!!

What is the length of the line?

Answers

6cm or (6,1)

If ur talking about vectors It’s (6,1)

What is the remainder of x^5+2x^4+9x^3-6x^2+3x+3165 divided by x-5

Answers

Answer:

8530

Step-by-step explanation:

The remainder is 5⁵ + 2(5)⁴ + 9(5)³ - 6(5)² + 3(5) + 3165 = 8530

Find the surface area of the composite figure
4 cm
13 cm
3 cm
4 cm
12 cm
SA = [?] cm²
5 cm
3 cm. Pls help

Answers

116 cm the composite figure

Find the ratio of 18 inches to 2 yards B
A. 3/4 B. 1/4
C. 1/5 D. 2/5

Answers

Answer:

B. 1 / 4

Step-by-step explanation:

Step 1: We can turn 2 yards into 6 feet.

Step 2: Then we can turn 6 feet into 72 inches.

Step 3: We plug it into the ratio, getting 18 / 72.

Step 4: Simplify. We get 1 / 4 as the answer. Therefore, we choose B.

Find x
proportions with similar triangles. ​

Answers

Answer:

32

(this is just an approximation due to the left triangle)

The is 32 I hope dis helps

an animal shelter takes in an average of 5 animals per day. the shelter must keep its total occupancy below 300. currently the shelter has 165 animals. if none of the animals get adopted which inequality represents how many more days, x, the shelter can continue to take in animals without exceeding its occupancy limit?

Answers

Answer:

y= 5x+165

Step-by-step explanation:

the slope is 5, so five per day, plus the y-intercept, or when x = 0

Brainliest pls

Find all (a, b, c, d) in R4
such that the given set is orthogonal.

{(1, 2, 1, 0), (1, −1, 1, 3), (2, −1, 0, 1), (a, b, c, d)}

Answers

Answer:

[tex]\left[\begin{array}{}0&\\1&\\-2&\\1&\end{array}\right][/tex]  t in R   Correct option (B)

Step-by-step explanation:

Orthogonal vectors : We say that 2 vectors are orthogonal if they are perpendicular to each other. i.e. the dot product of the two vectors is zero.

Dot product : The dot product of two vectors is equal to the sum of the products of the individual components of the two vectors.

for the given vector (a, b, c, d) to be orthogonal its dot product with each vector must be 0

therefore (1, 2, 1, 0).(a, b, c, d) = 0

                        a + 2b+ c+ 0    = 0    -------- (i)

similarly   (1, -1, 1, 3 ).(a, b, c, d) = 0

                        a - b + c + 3d    = 0   -------- (ii)

                 (2, -1, 0, 1).(a, b, c, d) = 0

                        2a - b + 0 + d   = 0 ---------- (iii)

subtracting equation (i) from (ii)

a - b + c + 3d - a - 2b - c - 0 = 0

                               -3b + 3d = 0

                                           b = d

substituting  b = d in (iii)

                       2a + b + 0 + b = 0

                                 2a + 2b = 0

                                           a = 0

substituting a = 0 , b = d in (i)

                       0 + 2d + c + 0 = 0

                                          c   = -2d

thus for any t ∈ R, vector(0, t, -2t, t)  will make the given set orthogonal

the above vector can also be written as (0, 1, -2, 1)

therefor option B is correct

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Neil started a stamp collection with 12 stamps. Every week, he adds 4 more stamps to the collection. Which function f represents the relationship between the number of stamps (s) and the number of weeks (w)?
A.
s = f(w) = 12 + 4w
B.
w = f(s) = 12s + 4
C.
s = f(w) = 12 + 4s
D.
w = f(s) = 12w + s
E.
s = f(w) = s – 12

Answers

The function s = f(w) = 12 + 4w represents the relationship between the number of stamps (s) and the number of weeks (w) option (A) is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

Neil started a stamp collection with 12 stamps. Every week, he adds 4 more stamps to the collection.

The number of stamps is s and the number of weeks is w.

s = f(w) = 12 + 4w

Because Every week, he adds 4 more stamps to the collection

Thus, the function s = f(w) = 12 + 4w represents the relationship between the number of stamps (s) and the number of weeks (w) option (A) is correct.

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A bedroom measures 9 feet long and 11 feet wide. A scale drawing is made using a scale factor of 112.

What is the length of the bedroom in the scale drawing?

3/4 11/12 5/3

Answers

multiply the actual length by the scale:

9 x 1/12 = 9/12 = 3/4


Answer: 3/4

Hey I need help with statistics

Answers

What’s your question?

The graph below have the same shape. What is the equation of the red graph

Answers

Answer:

G(x)=x³-1

because it intersect at the negative side of y

Answer:

g(x) = x³ - 1

(option C)

Step-by-step explanation:

We know that the shape of the graph has not changed, as stated in the question, meaning that the change has not happened as a direct change to x (like 2x³ instead of x³).

The entire graph has been moved down and not left/right, which would have happened inside the parenthesis (like g(x) = (x³ - 3)).

Because it has been shifted down (as evident by the y-intercept), and we know that the shape has not changed, we know that the original function was shifted down 1 --which can be expressed by the equation g(x) = x³-1

Select the correct answer. Consider this function. Which graph represents the inverse of function f? The linear function on a coordinate plane passes through (4, 3), and (2, 2) which intercepts the axis at (0, 1), and (minus 2, 0). W. The linear function on a coordinate plane passes through (minus 4, 4), and (2, 1) which intercepts the axis at (4, 0), and (0, 2). X. The linear function on a coordinate plane passes through (3, 4), and (minus 1, minus 4) which intercepts the axis at (1, 0), and (0, minus 2). Y. The linear function on a coordinate plane passes through (minus 1, 4), and (2, minus 2) which intercepts the axis at (0, 2), and (0, 1). Z. A. W B. X C. Z D. Y

Answers

Answer:

A , C , D  , i thinks it another one but ionk

Step-by-step explanation:

PLEASE HELP!! ANSWER AND EXPLANATION NEEDED URGENTLY!!

Answers

Using it's concept, it is found that the probability that the button is either pink or blue is:

[tex]p = \frac{26}{29}[/tex]

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that:

There are x yellow buttons.There are y blue bottons.There are z pink buttons.

There are six times as many pink buttons as yellow books, hence:

z = 6x.

Considering the ratio of yellow buttons to blue buttons, we have that:

[tex]\frac{x}{y} = \frac{3}{8}[/tex]

3y = 8x

[tex]y = \frac{8x}{3}[/tex]

The total number of buttons is given by:

[tex]T = x + \frac{8x}{3} + 6x[/tex]

[tex]T = \frac{29x}{3}[/tex]

The number of pink or blue is given by:

[tex]y + z = \frac{8x}{3} + 6x = \frac{26x}{3}[/tex]

Hence the probability is given by:

[tex]p = \frac{\frac{26x}{3}}{\frac{29x}{3}} = \frac{26}{29}[/tex]

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What is x, the distance between points A and A'? D.15

Answers

The value of x that fills the coordinate are 7 or -5

Distance between two points

The formula for calculating the distance between two points is expressed as:

D = √(x2-x1)² +(y2-y1)²

Substitute the given coordinates

10 = √(15-7)² +(1-x)²

100 = 8²  +(1-x)²

(1-x)² = 100 - 64

(1-x)² = 36

1- x = -6

x = 7 or -5

Hence the value of x that fills the coordinate are 7 or -5

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Complete question

If the distance between two points (x, 7) and (1, 15) is 10, find the value of x.

ASSIGNMENTS
COURSES
2.(-4)2
3.42
Assignment 5. Solving Equations with Exponents
Attempt 10 of 7
Evaluate each expression. Determine if the final simplified form of the expression is positive or negative
1.-42
NEXT QUESTION
SECTION

Answers

Answer:

-16, 16, 16

Step-by-step explanation:

1) -16

2) 16

3) 16

help please
what is

Answers

Option A. is correct for the given condition.

Lets solve it through steps of range and functions,

First of all, Solve the equation:
[tex]f(x) = |x|+5[/tex]
[tex]= > x = -5[/tex] (1)

[tex]= > x = 5[/tex] (2)

So these would be the ranges of X in between 5 and -5.

Hence option A. [tex]R{f(x)eR [f(x) < 5}[/tex] is correct.

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Given m = -1/2 and the point (3, -6), which of the following is the point-slope form of the equation

Answers

Answer:

y + 6 = -1/2(x-3)

Step-by-step explanation:

let me know if you want an explanation

Question 11 (5 points) ✓ Saved Solve x² + 4x + 12 = 0 by completing the square. Ox= -2 + 2√2i, x=-2-2√/2i Ox= -2 +2i, x=-2-2/ O x = 0, -4 Ox= -2+ √2i, x=-2-√2i​

Answers

The solution of the equation is x = -2±2i√2. The solution to the equation is found in the Sridharacharya formula.

What is the equation?

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

Given equation;

x² + 4x + 12 = 0

The solution to the equation is found as;

x² + 4x + 12 = 0

The solution to the equation is;

[tex]\rm x=-b \pm \frac{\sqrt{b^2-4ac}}{2a} \\\\ \rm x=-4 \pm \frac{\sqrt{4^2-4\times 4 \times 1}}{2\times 4} \\\\[/tex]

x = -2±2i√2

Hence the solution of the equation is x = -2±2i√2.

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A cliff on the seashore is eroding at the rate of 17 cm per year. Write and solve an equation to find the number of years in which the cliff will erode 85cm.

Answers

Answer: 0.2 years

Step-by-step explanation:

Question 2
A) 800 cents
A laptop computer consumes about 40 watts of electricity per hour when operating. At $0.20 per kilowatt-hour, how much does.
laptop cost to operate for 10 hours?
B) 40 cents
200 cents
8 cents
19 OF 20 QUESTIONS REMAIN
Question 3
10 Point
10 Points

Answers

Answer: $80

Step-by-step explanation:

Given:

The laptop consumes 40 watts/hour

The operating cost is $0.20 per kilowatt - hour

So,

The cost for 1 hour of consumption = 40 * 0.20 = $8

The cost for 10 hours of consumption = $8 * 10 hours = $80

Ahmed is three times as old as Suad. Deeqa is three times o Ahmed. If Deeqa is 39 years old. How old is Suad? ​

Answers

Answer:

Suad is 4.333 years old.

Step-by-Step explanation:

let x = Suad's age

let y = Deeqa's age

let z = Ahmed's age

y = 3x

z = 3y = 3(3x)

but z = 39

3(3x) = 39

x = 4.33333

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